{
  "id": 665,
  "curve_key": "1552:-71704",
  "ainvs": [
    "0",
    "1",
    "1",
    "-32",
    "72"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "naive_height": 22.360603626074397,
  "faltings_height": -0.1451524267418335,
  "conductor": "812011",
  "bad_primes": [
    "812011"
  ],
  "discriminant": "-812011",
  "regulator": "4.031919540849259407608628580327419430893335867",
  "points": [
    [
      "3",
      "3"
    ],
    [
      "2",
      "4"
    ],
    [
      "1",
      "6"
    ],
    [
      "-2",
      "11"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 812011.a1. Curve data, generators (3, 3), (2, 4), (1, 6), (-2, 11) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/812011/a/1",
  "created_at": "2026-09-08 19:17:51",
  "updated_at": "2026-09-08 19:17:51"
}